% !TeX root = main.tex

%\section*{Figures}

\listoffigures
\clearpage

\begin{figure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{Biomass_modeling}
	\end{center}
	\caption{Modeling the total biomass of trees (inspired by \cite{Somogyi2007}). Direct models of total biomass from inventory measurements (2); indirect models starting from merchantable volume estimate (1) followed by conversion from volume to biomass and expansion from merchantable to total tree component (3-7); indirect models starting from inventory measurements through total volume estimate and conversion to biomass (8 and 6). Volume expansion factor ($VEF$) as defined in this paper refers to arrow 5.}
	\label{Biomass_modeling}
\end{figure}

\begin{sidewaysfigure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{VEF_vs_DBH}
	\end{center}
	\caption{Volume expansion factor ($VEF$) as a function of diameter at breast height ($DBH$) by genus for trees of dataset \#1 having a $DBH$ $\geq 7$ cm.}
	\label{VEF_vs_DBH}
\end{sidewaysfigure}

\begin{figure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{Pinus_quercus}
	\end{center}
	\caption{Volume expansion factor ($VEF$) as a function of diameter at breast height ($DBH$) for \textit{Pinus} species (on the left) and for \textit{Quercus} species (on the right); datasets \#1 and \#2 were used.}
	\label{Pinus_quercus}
\end{figure}

%\begin{figure}[h]
%	\begin{center}
%	\includegraphics[width=1.\textwidth]{IC_parameters_nlsList}
%	\end{center}
%	\caption{95\% confidence intervals on the parameters obtained from separate fittings of Equation \eqref{equa5} (output of the \textit{intervals} function of \textit{nlme} package).}
%	\label{IC_parameters_nlsList}
%\end{figure}

\begin{figure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{Observed_vs_Predicted}
	\end{center}
	\caption{Observed versus predicted values of $Vtot$ for dataset \#1 (on the left) and for dataset \#2 (on the right).}
	\label{Observed_vs_Predicted}
\end{figure}

\begin{sidewaysfigure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{Validation_1}
	\end{center}
	\caption{Validation of the model to tree species used for the calibration. Field measurements are represented in black, green, cyan and magenta filled circles or triangles. Predictions of $VEF$ on the basis of the fixed part of the model are represented in blue circles or triangles. Predictions of $VEF$ on the basis of the species-specific coefficients estimated from the mixed effects model are represented in red circles or triangles.}
	\label{Validation_1}
\end{sidewaysfigure}

\begin{sidewaysfigure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{Validation_2}
	\end{center}
	\caption{Validation of the model to tree species not used for the calibration. Field measurements are represented in black, green and cyan filled circles or triangles. Predictions of $VEF$ on the basis of the fixed part of the model are represented in blue circles or triangles. For the genera \textit{Quercus} and \textit{Pinus} it was possible to apply to species-specific coefficients estimated on the basis of both fixed and random effects and the corresponding predictions are represented in red circles or triangles.}
	\label{Validation_2}
\end{sidewaysfigure}

%\begin{figure}[h]
%	\begin{center}
%	\includegraphics[width=1.\textwidth]{Pinus}
%	\end{center}
%	\caption{$VEF$ as functions of $C130$ (on the left) and tree height (on the right). Gymnosperm species except \textit{Pinus} species are represented with gray circles. The different species of the genus \textit{Pinus} are represented with other symbols and colors.}
%	\label{Pinus}
%\end{figure}

\begin{figure}[h]
	\begin{center}
	\includegraphics[width=1.\textwidth]{Predicted_VEF_vs_genus_dataset1_plus_dataset2}
	\end{center}
	\caption{Predicted volume expansion factor ($VEF$) as a function of diameter at breast height ($DBH$) by genus of dataset \#1 (angiosperms on the left, gymnosperms on the right). The predictions were obtained by using the model based on $DBH$ only fitted on dataset\#1 with additional trees from dataset\#2 for the common genera. Dashed lines show the $DBH$ values for which the model is used in extrapolation.}
	\label{Predicted_VEF_vs_genus}
\end{figure}



